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Finding the Fourth Proportional to 624.65, 860.49 and 535.84

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Solution

The fourth proportional to 624.65, 860.49 and 535.84 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.65 : 860.49 = 535.84 : x
  2. Step 2: Convert to fraction form
    624.65/860.49 = 535.84/x
  3. Step 3: Cross multiply
    624.65x = 860.49 × 535.84
  4. Step 4: Simplify right side
    624.65x = 461,084.96
  5. Step 5: Solve for x
    x = 461,084.96/624.65
  6. Step 6: Final answer
    x = 738.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.